The tiles below represent the polynomial 27 + 7x+6.
X X 1 1 1
X2
x X2 X2 xxx
1 x x 1 1 1
1 X X 1 1 1
х
х
1
What is the factorization of 2x2 + 7x+6?
A. (2x+ 2)(x+3)
B. (x+3)(x+6)
C. (x+3)(x + 2)
D. (2x+3)(x+2)

Respuesta :

Answer:

The tiles below represent the polynomial 27 + 7x+6.

X X 1 1 1

X2

x X2 X2 xxx

1 x x 1 1 1

1 X X 1 1 1

х

х

1

What is the factorization of 2x2 + 7x+6?

A. (2x+ 2)(x+3)

B. (x+3)(x+6)

C. (x+3)(x + 2)

D. (2x+3)(x+2)

Step-by-step explanation:

The factorization of 2x² + 7x + 6 is D. (2x+3)(x+2).

How to solve the factorization?

The factorization of 2x² + 7x+6 is illustrated below:

= 2x² + 7x + 6

= (2x² + 4x) + (3x + 6)

= 2x(x + 2) + 3(x + 2)

= (2x + 3)(x + 2)

Therefore, the factorization of 2x² + 7x + 6 will be (2x+3)(x+2).

In conclusion, the correct option is D.

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